This manuscript establishes a fixed, platform-agnostic measurement corridor for cross-bench certification and applies it uniformly to both on-chip magnon devices and Gaussian homodyne photonics. External papers supply only their hardware and readout templates; all scoring, falsifiers, z-Tension budgeting, and replay rules originate in the present G–Σ–P–L grammar. The work formalizes a native three-parameter witness—F_guarded, Tz_center, and rho_back—under acceptance lines that never move, and introduces a registrar-verified, tokens-only replay path anchored by a one-tick time-triad lease. Reverse UBL contributes the P-lane magnitude (R′), while Centered-X, programmable UBL ⟂ DHP, and local TWA+ calibration provide the structural mapping that locks both platforms to a common contract. This bridge manuscript is technically important: it fixes the corridor for all upcoming triad-based evaluations and ensures that future device claims, photonic or magnonic, are falsifiable, replayable, and computed under the same immovable G–Σ–P–L rules.
This manuscript establishes a fixed, platform-agnostic measurement corridor for cross-bench certification and applies it uniformly to both on-chip magnon devices and Gaussian homodyne photonics. External papers supply only their hardware and readout templates; all scoring, falsifiers, z-Tension budgeting, and replay rules originate in the present G–Σ–P–L grammar. The work formalizes a native three-parameter witness—F_guarded, Tz_center, and rho_back—under acceptance lines that never move, and introduces a registrar-verified, tokens-only replay path anchored by a one-tick time-triad lease. Reverse UBL contributes the P-lane magnitude (R′), while Centered-X, programmable UBL ⟂ DHP, and local TWA+ calibration provide the structural mapping that locks both platforms to a common contract. This bridge manuscript is technically important: it fixes the corridor for all upcoming triad-based evaluations and ensures that future device claims, photonic or magnonic, are falsifiable, replayable, and computed under the same immovable G–Σ–P–L rules.
This is the first in three significant manuscripts, and it establishes a mid-level Four-Solves-Three (4S3) controller for wave platforms, with magnons and L1/L2 geometry as the primary arena and a [[5,1,3]] stabilizer twin for device-independent containment. Decisions are made by four fixed roles closing three independent gates under guard-safe containment: parity hygiene, centered-X balance-line co-lock, and corridor-mapping severity. Acceptance lines are locked (IoU >= 0.75; rho <= -0.60) and never moved. Engine-invariant falsifiers (flip-only Z, disable-L, withhold-carrier reproducibility, and a 3-of-4 stabilizer audit) bound artifacts without threshold travel. Reproducibility is delivered through tokens-only replay with minimal hashed schemas (e.g., window_hash, corridor_hash, grid_spec_hash, kpi_script_hash) and a worked micro-example. A rectifier KPI and a preregistered Tz_star budget provide compact auditing of parity and flatness; a one-tick Future_ur lease gate ensures survival consistency before any directive update. A concise concentric-ladder checkpoint (4->5) is identified for stress testing while guards remain fixed. The result elevates wave-scale demonstrations to a replication-ready standard: same grammar across magnons, L1/L2 geometry, Floquet/SRO mapping, and the stabilizer twin, with leave-one-out redundancy and tokens-only replay enabling independent verification.
This manuscript specifies a mid-level, standards-ready controller for networked quantum sensing under a Four-Solves-Three (4S3) contract. Four fixed roles (D, A, B, C) decide three gates—parity hygiene, centered-network co-lock, and corridor severity—without threshold travel and with tokens-only replay. The physical setting is a compact continuous-variable network that enables weighted-sum estimation on the determinant lane (D). I/Q centering (L1/L2) anchors the estimator; z_tension operates as a stop-token budget. Device-independent falsifiers (flip-only phase, disable-L, withhold-node, leave-one-out) are executed at network scale. Heisenberg claims are bound-respecting via a preregistered Fisher ratio band and an identifiability angle token. Two guard-safe routes are contrasted under the same contract: Route A (Magnon Electric Readout, direct D-lane weighted sum) and Route B (Angular Ribbon Mid-Stream Tap, advisory-only centering/stop). A minimal replication kit (frozen graph/weights/mask, detector model, and JSON schemas) allows third parties to reproduce IoU and rho, rerun falsifiers, and verify acceptance from tokens alone.
This note defines an operational “Strong” (S) versus “Strong-to-Weak” (SW) tag that lives entirely inside a fixed G–Sigma–P–L corridor, motivated by the recent hardness result that no scalable, black-box detector can universally diagnose strong-to-weak symmetry breaking in arbitrary open-system mixed states. The key move is to avoid universal phase-diagnostic claims and instead pin a corridor with explicit acceptance lines, parity and sign-flip guards, and falsifiers, then split only the already-accepted (minted) shots by how much internal structure they require to remain viable. In the working example, a synthetic magnet hysteresis-loop bench is used to show how standard corridor metrics (plateau coverage, jitter, even-channel RMS, leakage) plus a ZFlip licensing test yield a z-tension witness and a process-window width; minted runs with low tension and wide recipe stability are tagged Strong, while minted runs that only survive under higher tension, narrower recipes, or added scaffolding (triads, bundles, cross-bench averaging) are tagged Strong-to-Weak. The tags share the same window_hash, corridor_hash, sign code, and acceptance lines; they differ only by tension budget and recipe stability, and the tag plus its supporting scalars are written into the same token record used for replay and detached audit. The result is a concrete, falsifiable discriminator for “works alone” versus “only works with help” behavior that is compatible with the global hardness theorem precisely because it is corridor-scoped and structure-dependent rather than state-agnostic.
This manuscript establishes the L lane as a fully disciplined coordinate layer within the G–Sigma–P–L stack, transforming the ledger from an informal bookkeeping device into a contract-bound, falsifiable decision system. It defines contracts, capsules, observation tokens, and ledgers in a platform-independent manner and enforces that every decision be reproducible from token data alone under fixed guards, with no threshold travel and no hidden state. The work formalizes a three-level falsification hierarchy—replayability, no-threshold-travel, and one-way federation with Four-Solves-Three closure—and extends it with explicitly non-gating metadata and audit mechanisms, including Strong versus Strong-to-Weak tagging and Sum-of-Zeros shadow-ledger analysis. By insisting on immutability, replay, and separation between live certification and long-horizon auditing, the manuscript provides a durable operational blueprint that applies equally to photonic, magnetic, valleytronic, phononic, and Hilbert-style experimental programs, enabling cross-platform comparison and long-term integrity without exposing raw traces or proprietary control logic.
Significant — This manuscript certifies a 91-qubit Floquet chaos verification claim under a fixed tensor corridor by converting dual-unitary admissibility, tensor-network baseline comparison, and mitigation workflows into declared corridor objects with tokens-only replay. The contract enforces MAP0–SEB–MAP1 separation so recognition cannot be repaired by enforcement, prohibits backflow authority, and treats mitigation as an explicit tightening ladder rather than as postprocessing convenience. A signed-triad record with zeros-stay-zeros discipline carries the primary sign record across tightening steps; flip-only audits and mitigation-disable (disable-L) falsifiers test anchor drift and translator dependence; strong-to-weak grading preserves value when survival fails without inflating the claim. Two ceilings bound what is certifiable (not what is physically chaotic): SoZ constrains yield/missingness under tightening, and an R≈1 containment ratio constrains instability growth versus declared budget. The output is a replayable branch-map decision record—promote, downgrade, refuse, or hold—with reason tokens, replay-kit fields, and falsifier-first logic suitable for bench transfer without moving thresholds.
Significant — This work provides a contract-level certification overlay for programmable non-Abelian braiding of light states on photonic integrated circuits by converting “order matters” into a replayable, audited claim object rather than a visually persuasive map. The corridor is frozen via tokens for device identity, calibration snapshot, readout window, preprocessing policy, reconstruction gauge, and the declared word family; recognition is written as durable SEB prewrite/postwrite logs so translator dependence (reconstruction/denoising/gauge fixing) cannot be hidden; MAP1 enforces a branch map under tightening and requires sequence-swap falsifiers (AB vs BA and longer words) plus a disable-tuning null that forbids per-order retune between sequences. Outcomes are reported as promote, downgrade, refuse, or hold with reason tokens that isolate the dominant confounds in programmable PIC braiding claims (retune-between-orders, gauge slip, translator dependence, thermal cross-talk, metric non-robustness, channel dissent), preserving value through strong-to-weak downgrade without manufacturing promotion.